Partial regularity for weak solutions of nonlinear elliptic systems: the subquadratic case

• Autores: Lisa Beck
• Localización: Manuscripta mathematica, ISSN 0025-2611, Vol. 123, Nº. 4, 2007, págs. 453-491
• Idioma: inglés
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• Resumen

  • We consider weak solutions of second order nonlinear elliptic systems of divergence type under subquadratic growth conditions. Via the method of [A] -harmonic approximation we give a characterization of regular points up to the boundary which extends known results from the quadratic and superquadratic case. The proof yields directly the optimal higher regularity on the regular set.